2(x+3)=7(x-2)

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Solution for 2(x+3)=7(x-2) equation:


Simplifying
2(x + 3) = 7(x + -2)

Reorder the terms:
2(3 + x) = 7(x + -2)
(3 * 2 + x * 2) = 7(x + -2)
(6 + 2x) = 7(x + -2)

Reorder the terms:
6 + 2x = 7(-2 + x)
6 + 2x = (-2 * 7 + x * 7)
6 + 2x = (-14 + 7x)

Solving
6 + 2x = -14 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
6 + 2x + -7x = -14 + 7x + -7x

Combine like terms: 2x + -7x = -5x
6 + -5x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -5x = -14 + 0
6 + -5x = -14

Add '-6' to each side of the equation.
6 + -6 + -5x = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -14 + -6
-5x = -14 + -6

Combine like terms: -14 + -6 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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